A Super Lemon currently weighs 100 kg and is increasing by 4 kg per day. The price for Super Lemon’s
is currently $8.90 per kg but is decreasing at $0.30 per day. The cost to grow the lemon is $0.80 per
day.

Determine how many days from now the lemon should be sold to maximize profit and what the
maximum profit will be.

Respuesta :

The lemon should be sold 3 days from now to maximize profit, which would be $894.80.

Profit calculation

Given that a Super Lemon currently weighs 100 kg and is increasing by 4 kg per day, and the price for Super Lemon’s is currently $8.90 per kg but is decreasing at $0.30 per day, and the cost to grow the lemon is $0.80 per day, to determine how many days from now the lemon should be sold to maximize profit and what the maximum profit will be, you should perform the following calculation:

  • Initial profit = $890
  • (100 + 4x1) x (8.90 - 0.30x1) - (0.80x1) = 893.6
  • (100 + 4x5) x (8.90 - 0.30x5) - (0.80x5) = 884
  • (100 + 4x2) x (8.90 - 0.30x2) - (0.80x2) = 894.8
  • (100 + 4x3) x (8.90 - 0.30x3) - (0.80x3) = 893.6

Therefore, the lemon should be sold 3 days from now to maximize profit, which would be $894.80.

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